In nature, substances often possess a crystallinestructure. The basic component of a crystal is the unit cell,such as the rectangular parallelpiped illustrated in (Figure 1).In the questions that follow, express your answers in termsof the unit vectors i, j, and Â, that is, a vector withcomponents VI, Vy, and V₂ in the x, y, and z directions,respectively, is written V₁₁ + V₁₁+V₂k.Part CWhat is the vector VoF from point O to point F?Express you answer in terms of any of the following: L1, L2, L3, i, j, and k.VOF=ΜΕ ΑΣΦ?FigureL₁EHAL₁FB001 of 1SubmitRequest AnswerPart DWhat is the vector from A to B, VAB?Express you answer in terms of any of the following: L1, L2, L3, i, j, and k.VAB =ΜΕ ΑΣΦ?SubmitRequest Answer

Answered: Image /qna-images/answer/42aa416b-4255-4569-99fa-d84fb64540db.jpg

Answered: In nature, substances often possess a…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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For the given vectors V₁ and V2, determine V₁ + V2, V₁ + V2, V₁-V2, V1X V2, V₂ X V₁, and V₁ V₂. Consider the vectors to be nondimensional. V₂ = 11 Answers: V₁ + V₂ = V₁ + V₂ = V₁-V₂= V₁x V₂ = V₂X V₁ = V₁ V₂ = 69° i i i i i i 4 3 V₁ = 13 i+ i i+ i+ i i i+ i j+ i j+ i i k k k k
Six vectors (a→ through f→) have the magnitudes and directions indicated in the picture. Rank the following vector combinations on the basis of their magnitude from smallest to largest. a+b a+c a+d a+e f+c d
The vector A has a magnitude of 4.0 meters and points in the -x direction. The vector B has a magnitude of 3.0 meters and points in the +y direction. Vector C is deﬁned so that C - A + B = 0. What is the magnitude and direction of vector C? Give your answers to 2 signiﬁcant ﬁgures.
The figure shows three vectors. Vector A→ has a length of 35.0, vector B→ has a length of 69.0, and vector C→ has a length of 21.0. Solve the given equations. A→∙B→= ? B→∙(A→+C→)= ?
For the given vectors V₁ and V₂, determine V₁ + V₂, V₁ + V2. V₁-V₂, V₁x V2, V₁ V₂. Consider the vectors to be nondimensional. Assume V₁ = 15, V₂ = 21, a = 3, b = 5,0 = 22° Answers: V₁ + V₂ = i V₁ + V₂ = (i j+ k) V₁-V₂= (i j+ k) V₁xV₂ = (i j+ k) V₁ V₂ = i+ i+ i+ i i i i
Express F as a vector in terms of the unit vectors i, j, and k. Determine the projection, both as a scalar and as a vector, of F onto line OA, which lies in the x-y plane. Answers: 35° F = 4.6 KN 29° 30° A F = ( -1.319 i+ 2.285 j+ 3.768 k) KN FOA = -0.046 FOA = (i -0.040 KN i+ Hi ¡ -0.022 j+ i -0.046 k) kN
A vector A has component Ax = 12 m and Ay =5 m. What is the angle that vector A makes with the Y axis? 22.62 degrees 55.49 degrees 65 degrees 20.6 degrees 42.82 degrees
Vector A A→ has a magnitude of 23.0 mm and makes an angle of 30 degrees above the positive x axis. Vector B B→ has a magnitude of 13.0 mm and is oriented 60 degrees to the left of the y axis. Part A Find the magnitude of A−B |A→−B→|. Express your answer in meters. Part B Find the direction of A −B A→−B→. Express your answer in degrees. Part C Find the magnitude of 2A+B 2A→+B→. Express your answer in meters. Part D Find the direction of 2A+B 2A→+B→. Express your answer in degrees. Part E Find the magnitude of −A+3B −A→+3B→. Express your answer in meters. Part F Find the direction of −A+3B −A→+3B→. Express your answer in degrees.
The figure shows three vectors. Vector A→ has a length of 31.0, vector B→ has a length of 67.0, and vector C→ has a length of 22.0. Find each magnitude and direction. |A→×B→|= ? direction: ? |C→×B→|= ?
Question: True or False. Why? A vector space must contain at least two vectors. My Comment: I'm confused why this is a question because I believe it to be False. If I draw one vector on a graph with the coordinates (3,5), it is taking up a vector space on an xy coordinate system. Is that incorrect?
Imagine that you take the cross product A x B, where A=2x + 74 and B=2x + € + 1ŷ. What is the z-component of the resulting vector?
In nature, substances often possess a crystalline structure. The basic component of a crystal is the unit cell, such as the rectangular parallelpiped illustrated in ( Figure 1). In the questions that follow, express your answers in terms of the unit vectors i, j, and Â, that is, a vector with components VI, Vy, and V₂ in the x, y, and z directions, respectively, is written V₂i + V₁₁+V₂k. Part A What is the vector vco from point C to point O? Express you answer in terms of any of the following: L1, L2, L3, i, j, and . View Available Hint(s) Figure E H ΜΕ ΑΣΦ Vco = Submit 1 of 1 Part B ? F G What is the vector VOE from point o to point E? Express you answer in terms of any of the following: L1, L2, L3, i, j, and k. VOE = ΜΕ ΑΣΦ ? A B C Submit Request Answer

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